Dividing Fractions - Is there another way?

There are some division problems involving fractions that are pretty easy to do.
For instance:

6/8
_____
3/8

How many 3/8 are there in 6/8? If we ask it this way, we can do this in our heads.

6/8
_____ = 2
3/8

But what about something like

7/8
_____ = ?
3/5

How many 3/5 are there in 7/8? Can you calculate that in your head? Some people would change the fractions to decimals and use a calculator (.825 divided by .6). Others would rewrite the fractions using common denominators.